draw the velocity time graph for any object with constant velocity and find distance for any time interval from graph (please answer it full)
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The velocity-time graph for the body moving at uniform motion is as follows:
Now, let’s find the area under the graph from time t1 to t2:
Area = ∫t1t2vdt
Here, v=v0=constant
= ∫t1t2v0dt
= v0∫t1t2dt
Area = v0(t2−t1) ---(i)
We know, velocity=Displacementtime
⇒Displacement=velocity×time
Thus, equation (i) can be written as:
Area = velocity ×time travelled
⇒ Area = displacement
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